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Finding the Third Proportional to 806,152.50 and 1,738,179

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Solution

The third proportional to 806,152.50 and 1,738,179 is: 3,747,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,152.50 : 1,738,179 = 1,738,179 : x
  2. Step 2: Convert to fraction form
    806,152.50/1,738,179 = 1,738,179/x
  3. Step 3: Cross multiply
    806,152.50x = 1,738,179 × 1,738,179
  4. Step 4: Simplify right side
    806,152.50x = 3,021,266,236,041
  5. Step 5: Solve for x
    x = 3,021,266,236,041/806,152.50
  6. Step 6: Final answer
    x = 3,747,760.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.